What is the Greatest Common Factor of 26496 and 26505?

Greatest common factor (GCF) of 26496 and 26505 is 9.

GCF(26496,26505) = 9

We will now calculate the prime factors of 26496 and 26505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26496 and 26505.

How to find the GCF of 26496 and 26505?

We will first find the prime factorization of 26496 and 26505. After we will calculate the factors of 26496 and 26505 and find the biggest common factor number .

Step-1: Prime Factorization of 26496

Prime factors of 26496 are 2, 3, 23. Prime factorization of 26496 in exponential form is:

26496 = 2⁷ × 3² × 23¹

Step-2: Prime Factorization of 26505

Prime factors of 26505 are 3, 5, 19, 31. Prime factorization of 26505 in exponential form is:

26505 = 3² × 5¹ × 19¹ × 31¹

Step-3: Factors of 26496

List of positive integer factors of 26496 that divides 26496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 128, 138, 144, 184, 192, 207, 276, 288, 368, 384, 414, 552, 576, 736, 828, 1104, 1152, 1472, 1656, 2208, 2944, 3312, 4416, 6624, 8832, 13248

Step-4: Factors of 26505

List of positive integer factors of 26505 that divides 26496 without a remainder.

1, 3, 5, 9, 15, 19, 31, 45, 57, 93, 95, 155, 171, 279, 285, 465, 589, 855, 1395, 1767, 2945, 5301, 8835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26496 and 26505. The biggest common factor number is the GCF number.
So the greatest common factor 26496 and 26505 is 9.

Also check out the Least Common Multiple of 26496 and 26505